The brain's information processing algorithms still hold many secrets. According to neurophysiologists, it consists of 100 billion neurons, between which there are 100 trillion. connections.
With the help of MRI (magnetic resonance imaging), scientists can observe the processes of blood circulation and individual electrical impulses in the brain when a person performs certain tasks. However, which neurons are involved in this remains a mystery. An attempt to solve it was a joint project of neuroscientists and mathematicians Bluebrain at the Swiss Federal Technical Institute in Lausanne.
Algebraic topology was chosen as the main mathematical method, a branch of mathematics that describes objects and spaces that exist in a variety of dimensions using equations. The entire research process is summarized in three videos on You Tube.
Using topology and the concept of simplices (a simplex is a geometric figure that is an n-dimensional generalization of a triangle), the video shows that our brain produces many more simplices than the graph that characterizes random impulses. This work is material for future research, but on a generalized level, we can say that the entire array of neural connections in our brain forms a complex system that exists in eight dimensions. Even a small part of the brain can contain tens of millions of multidimensional objects. By studying their structure, scientists can finally model the activity of the human brain.